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Finding the Third Proportional to 140,870 and 206,994

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Solution

The third proportional to 140,870 and 206,994 is: 304,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,870 : 206,994 = 206,994 : x
  2. Step 2: Convert to fraction form
    140,870/206,994 = 206,994/x
  3. Step 3: Cross multiply
    140,870x = 206,994 × 206,994
  4. Step 4: Simplify right side
    140,870x = 42,846,516,036
  5. Step 5: Solve for x
    x = 42,846,516,036/140,870
  6. Step 6: Final answer
    x = 304,156.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.